Trigonometric Derivatives Flashcards

1
Q

d(sin u)/dx =

A

cos(u) du/dx

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2
Q

d(cos u)/dx =

A

-sin(u) du/dx

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3
Q

d(tan u)/dx =

A

sec2(u) du/dx

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4
Q

d(cot u)/dx =

A

-csc2(u) du/dx

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5
Q

d(sec u)/dx =

A

sec(u) tan(u) du/dx

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6
Q

d(csc u)/dx =

A

-csc(u) cot(u) du/dx

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7
Q

d(arcsin u)/dx =

A

du/dx / √(1 - u2)

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8
Q

d(arccos u)/dx =

A

-du/dx / √(1-u2)

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9
Q

d(arctan)/dx =

A

du/dx / (1 + u2)

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10
Q

d(arccot u)/dx =

A

-du/dx / (1 + u2)

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11
Q

d(arcsec u)/dx =

A

du/dx / abs(u)√(u2 - 1)

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12
Q

d(arccsc)/dx =

A

-du/dx /abs(u)√(u2 - 1)

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